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Finding the Third Proportional to 209,901.38 and 459,168.75

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Solution

The third proportional to 209,901.38 and 459,168.75 is: 1,004,452.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,901.38 : 459,168.75 = 459,168.75 : x
  2. Step 2: Convert to fraction form
    209,901.38/459,168.75 = 459,168.75/x
  3. Step 3: Cross multiply
    209,901.38x = 459,168.75 × 459,168.75
  4. Step 4: Simplify right side
    209,901.38x = 210,835,940,976.56
  5. Step 5: Solve for x
    x = 210,835,940,976.56/209,901.38
  6. Step 6: Final answer
    x = 1,004,452.41

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.